Question

Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.08 per mile driven.

For what amount of driving do the two plans cost the same? _ miles
What is the cost when two plans cost the same? $_

Answer 1

250 miles

69 dollars

Explanation:

Plan 1

44+.10m

Plan 2

49 +.08m

Set the two plans equal

44+.10m = 49 +.08m

Subtract .08m from each side

44+.10m - .08m = 49 +.08m-.08m

44+.02m = 49

Subtract 44 from each side

44 +.02m-44 = 49-44

.02m = 5

Divide each side by .02

.02m/.02 = 5/.02

m = 250

The cost is 44 +.10(250)

44 +25

69